Authors

Abstract

We study the contraction of a convex immersed plane curve along its normalvector direction with speed function $\frac{1}{\alpha}k^{\alpha}$, where$k>0$ is the curvature of the evolving curve and $\alpha>1$ is aconstant. We show that the blow-up rate of the curvature is always oftype one and the rescaled solution will converge to a limit that mayor may not be degenerate.